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Finding the Fourth Proportional to 298,191.22, 446,961.49 and 146,492.68

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Solution

The fourth proportional to 298,191.22, 446,961.49 and 146,492.68 is: 219,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,191.22 : 446,961.49 = 146,492.68 : x
  2. Step 2: Convert to fraction form
    298,191.22/446,961.49 = 146,492.68/x
  3. Step 3: Cross multiply
    298,191.22x = 446,961.49 × 146,492.68
  4. Step 4: Simplify right side
    298,191.22x = 65,476,586,526.89
  5. Step 5: Solve for x
    x = 65,476,586,526.89/298,191.22
  6. Step 6: Final answer
    x = 219,579.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.